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Finding the Fourth Proportional to 3,059.80, 4,222.54 and 1,733.48

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Solution

The fourth proportional to 3,059.80, 4,222.54 and 1,733.48 is: 2,392.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.80 : 4,222.54 = 1,733.48 : x
  2. Step 2: Convert to fraction form
    3,059.80/4,222.54 = 1,733.48/x
  3. Step 3: Cross multiply
    3,059.80x = 4,222.54 × 1,733.48
  4. Step 4: Simplify right side
    3,059.80x = 7,319,688.64
  5. Step 5: Solve for x
    x = 7,319,688.64/3,059.80
  6. Step 6: Final answer
    x = 2,392.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.